Question

Joe baked brownies in a 9 inch by 11 inch by 2 inch pan. He then cut the brownies into 12 large pieces. Joe ate 2 pieces, his roommate ate 3 pieces, and the dog unfortunately ate half of what was remaining. How many cubic inches of brownies did the dog eat?

A) 57.75
B) 82.5
C) 99
D) 115.5

Answer 1

The dog ate A) 57.75 cubic inches of brownies after Joe and his roommate consumed some of the brownies, leaving half of the remaining amount to be eaten by the dog.

Step-by-step explanation:

The question involves calculating the volume of brownies the dog ate after a series of events in which brownies were consumed by several individuals.

First, we calculate the total volume of the brownies by multiplying the dimensions of the pan: 9 inches by 11 inches by 2 inches, which gives us 198 cubic inches of brownies. Joe cut the brownies into 12 large pieces, so each piece has a volume of 198 ÷ 12 = 16.5 cubic inches.

Joe ate 2 pieces and his roommate ate 3 pieces, leaving 12 - 2 - 3 = 7 pieces of brownies. The dog ate half of what was remaining. Half of 7 pieces is 3.5 pieces. So, the dog ate 3.5 × 16.5 = 57.75 cubic inches of brownies. The correct option for this question is option A) 57.75.